Volume 53, Issue 4
Submanifolds in Cauchy Riemann Geometry

Jih-Hsin Cheng

J. Math. Study, 53 (2020), pp. 471-492.

Published online: 2020-12

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  • Abstract

In this paper I would like to make a report on the results about hypersurfaces in the Heisenberg group and invariant curves and surfaces in CR geometry. The results are contained in the papers [8, 9, 16] and [14]. Besides, I would also report on the results about the strong maximum principle for a class of mean curvature type operators in [10].

  • AMS Subject Headings

35L80, 35J70, 32V20, 53A10, 32V05, 53B40, 53C45

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

cheng@math.sinica.edu.tw (Jih-Hsin Cheng)

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@Article{JMS-53-471, author = {Cheng , Jih-Hsin}, title = {Submanifolds in Cauchy Riemann Geometry}, journal = {Journal of Mathematical Study}, year = {2020}, volume = {53}, number = {4}, pages = {471--492}, abstract = {

In this paper I would like to make a report on the results about hypersurfaces in the Heisenberg group and invariant curves and surfaces in CR geometry. The results are contained in the papers [8, 9, 16] and [14]. Besides, I would also report on the results about the strong maximum principle for a class of mean curvature type operators in [10].

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v53n4.20.04}, url = {http://global-sci.org/intro/article_detail/jms/18511.html} }
TY - JOUR T1 - Submanifolds in Cauchy Riemann Geometry AU - Cheng , Jih-Hsin JO - Journal of Mathematical Study VL - 4 SP - 471 EP - 492 PY - 2020 DA - 2020/12 SN - 53 DO - http://doi.org/10.4208/jms.v53n4.20.04 UR - https://global-sci.org/intro/article_detail/jms/18511.html KW - Heisenberg group, umbilicity, Pansu sphere, Strong maximum principle, horizontal ($p$−)mean curvature, subriemannian manifold, CR geometry, chain, Kropina metric, pseudohermitian geometry, CR invariant surface area functional, singular Yamabe problem, volume renormalization. AB -

In this paper I would like to make a report on the results about hypersurfaces in the Heisenberg group and invariant curves and surfaces in CR geometry. The results are contained in the papers [8, 9, 16] and [14]. Besides, I would also report on the results about the strong maximum principle for a class of mean curvature type operators in [10].

Jih-Hsin Cheng. (2020). Submanifolds in Cauchy Riemann Geometry. Journal of Mathematical Study. 53 (4). 471-492. doi:10.4208/jms.v53n4.20.04
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